The phrase "approximated well with" is correct and usable in written English.
It can be used when discussing how closely a model, calculation, or representation matches a set of data or a real-world scenario.
Example: "The results of the experiment were approximated well with the theoretical predictions, indicating a strong correlation between the two."
Alternatives: "closely matched with" or "well represented by".
Attempts were made to calculate linear tracking slopes beginning as early as 1985, but the error in those slopes exceeded 10% for all but a few states, suggesting that temporal trend could not be approximated well with a linear fit.
From this collection, we choose a combination of eight folicular carcinomas, so that their mean diameter of 2.78 cm had approximated well with that of the carcinomas from the study of Wang and coworkers (2.8 cm) (1).
However, the distributions of population mutation rates at microsatellites with tri-nucleotide repeats can also be approximated well with gamma distributions for all the species and/or subspecies without any exception.
Our results indicate that the tilted bipole source approximates well with the vertical bipole source at the mid-point between the surface and the bottom electrodes.
Thus, our results indicate that the tilted bipole source approximates well with the vertical bipole source at the mid-point between the surface and the bottom electrodes.
Our results indicate that the tilted bipole source approximates well with the vertical bipole source at the midpoint between the surface and the bottom electrodes.
The present solution shown by dotted line approximates well with the FEM shown by solid lines in time simulation in Figure 9, and the maximum relative error is −2.0534% in Table 4.
In addition, we solve equation (26) and derive the relationship between the time variable t and water content θ, which shows that the present solution approximates well with the FEM as time increases in Figure 5, and the maximum relative error is less than 2% in Table 2.
Numerical examples are presented to show that even very simple problems, including basic problems in fluid dynamics, are not approximated well by schemes with anisotropy artificial viscosity, regardless of numerical parameters.
The scope of the paper is to prove that the reliability of an arbitrary system can be approximated well by a finite Weibull mixture with positive component weights only, without knowing the structure of the system, on condition that the unknown parameters of the mixture can be estimated.
For example, the crop weed competition curve used in LUSO is clearly non-linear, as evidenced in Fig. 2, but the fact that only a small section of this curve was important for the presented analysis suggests that the curve could be approximated well by a piecewise linear model with little loss of accuracy.
